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Sensitivity functionals in contact problems of elasticity theory

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Abstract

The sensitivity functional constructed for the variational elasticity problem with given friction is proved to be lower semicontinuous. An analysis based on this property is conducted for a duality scheme with the modified Lagrangian functional.

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Authors and Affiliations

  1. Pacific Ocean State University, ul. Tikhookeanskaya 136, Khabarovsk, 680035, Russia

    E. M. Vikhtenko

  2. Changwon National University, Changwon, 641-773, South Korea

    G. Woo

  3. Computing Center, Far East Division, Russian Academy of Sciences, ul. Kim-Yu-Chena 65, Khabarovsk, 680000, Russia

    R. V. Namm

Authors
  1. E. M. Vikhtenko
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  2. G. Woo
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  3. R. V. Namm
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Corresponding author

Correspondence to E. M. Vikhtenko.

Additional information

Original Russian Text © E.M. Vikhtenko, G. Woo, R.V. Namm, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 7, pp. 1218–1228.

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Vikhtenko, E.M., Woo, G. & Namm, R.V. Sensitivity functionals in contact problems of elasticity theory. Comput. Math. and Math. Phys. 54, 1190–1200 (2014). https://doi.org/10.1134/S0965542514070112

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  • DOI: https://doi.org/10.1134/S0965542514070112

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